Description of a Geometric Series
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3) Use the geometric sequence of numbers 1, 1/3, 1/9 , 1/27... to find the following:
a) What is r, the ratio between 2 consecutive terms?
b) Using the formula for the sum of the first n terms of a geometric series, what is the sum of the first 10 terms? Carry all calculations to 7 significant figures.
c) Using the formula for the sum of the first n terms of a geometric series, what is the sum of the first 12 terms? Carry all calculations to 7 significant figures.
d) What observation can make about these sums? In particular, what number does it appear that the sum will always be smaller than?
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Solution Summary
This solution provides an example of working with a geometric series with calculations formatted in an attached Word document.
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